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Tidal interaction of black holes and Newtonian viscous bodies · Around

2009

Tidal interaction of black holes and Newtonian viscous bodies

Poisson, Eric

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The tidal interaction of a (rotating or nonrotating) black hole with nearby bodies produces changes in its mass, angular momentum, and surface area.

Similarly, tidal forces acting on a Newtonian, viscous body do work on the body, change its angular momentum, and part of the transferred gravitational energy is dissipated into heat.
The equations that describe the rate of change of the black-hole mass, angular momentum, and surface area as a result of the tidal interaction are compared with the equations that describe how the tidal forces do work, torque, and produce heat in the Newtonian body.
The equations are strikingly similar, and unexpectedly, the correspondence between the Newtonian-body and black-hole results is revealed to hold in near-quantitative detail.

Built on

E. E. Flanagan and T. Hinderer, Constraining neutron star tidal Love numbers with gravitational wave detectors
Original
1915
Earlier work this paper cites.
J. B. Hartle, Tidal friction in slowly rotating black holes
1973
Earlier work this paper cites.
J. B. Hartle, Tidal shapes and shifts on rotating black holes
1974
Earlier work this paper cites.
K. S. Thorne, R. H. Price, and D. A. Macdonald, Black holes: The membrane paradigm
1986
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Second Edition
1987
Earlier work this paper cites.

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Then

S. Taylor and E. Poisson, Nonrotating black hole in a post-Newtonian tidal environment
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2008
Later among the works it cites.
T. Damour and A. Nagar, Relativistic tidal properties of neutron stars
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2009
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T. Binnington and E. Poisson, Relativistic theory of tidal Love numbers
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2009
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T. Damour and O. M. Lecian, On the gravitational polarizability of black holes
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S. Mathis and C. L. Poncin-Lafitte, Tidal dynamics of extended bodies in planetary systems and multiple stars
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